Question

integrate

Answer 1

q plz

Answer 2

\[\int\limits_{0}^{\infty} e ^{-x ^{2}}dx\]

Answer 3

check your integration bounds, are they correct?

Answer 4

Yes

Answer 5

Then you have to change to a geometric approach for this problem, have you done that before in polar coordinates?

Answer 6

No

Answer 7

The trick works as follows:
\[I= \int_0^\infty e^{-x^2}dx \] such that:
\[\Large I^2=\int_0^{\infty}\int_0^\infty e^{-x^2-y^2}dxdy \]
which you can express in polar coordinates as:
\[\Large I^2=\int_0^{\frac{\pi}{2}}\int_0^\infty r e^{-r^2}drd\theta \]

Answer 8

but you must know how to evaluate polar coordinates to complete this exercise.

Answer 9

never mind, but thanks!